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In particular, a ball (open or closed) always includes p itself, since the definition requires r > 0. A unit ball (open or closed) is a ball of radius 1. A ball in a general metric space need not be round. For example, a ball in real coordinate space under the Chebyshev distance is a hypercube, and a ball under the taxicab distance is a cross ...
The leading team, in terms of games behind, is the team with the best won–loss difference. This is not always the team with the most wins. For example, a team with an 80–70 record (10 more wins than losses) would be one game behind a team with a 79–67 record (12 more wins than losses).
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
However, he used different symbols than those that are now standard. Later, René Descartes (17th century) introduced the modern notation for variables and equations ; in particular, the use of x , y , z {\displaystyle x,y,z} for unknown quantities and a , b , c {\displaystyle a,b,c} for known ones ( constants ).
When the meaning depends on the syntax, a symbol may have different entries depending on the syntax. For summarizing the syntax in the entry name, the symbol is used for representing the neighboring parts of a formula that contains the symbol. See § Brackets for examples of use. Most symbols have two printed versions.
A simple machine is a mechanical device that changes the direction or magnitude of a force. [1] In general, they can be defined as the simplest mechanisms that use mechanical advantage (also called leverage) to multiply force. [2]
A parametric equation is an equation in which the solutions for the variables are expressed as functions of some other variables, called parameters appearing in the equations; A functional equation is an equation in which the unknowns are functions rather than simple quantities; Equations involving derivatives, integrals and finite differences:
The team that has scored more goals at the end of the game is the winner; if both teams have scored an equal number of goals then the game is a draw. Each team is led by a captain who has only one official responsibility as mandated by the Laws of the Game: to represent their team in the coin toss before kick-off or penalty kicks. [5]